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Cambridge & Pearson Edexcel Past Paper Questions

Browse 35,704 questions from Cambridge O-Level & A-Level and Pearson Edexcel IGCSE & IAL exams. Click any question to practice.

O-LevelMathematicsStatisticsMay/June 2016

100 electric light bulbs of Brand A were tested to find how long each bulb lasted. The results are summarised in the table below. Time (t hours) | ...

O-LevelMathematicsVectors and transformationsMay/June 2016

(a) Triangle ABC has vertices A(2, 2), B(3, 5) and C(4, 1). Triangle A'B'C' has vertices A'(−4, 4), Β΄(−3, 7) and C'(−2, 3). (b) PQRS is a parallel...

O-LevelMathematicsNumberMay/June 2016

Each year the Reds play the Blues in a baseball match.

O-LevelMathematicsVectors and transformationsMay/June 2016

JK = (2; 5), KL = (4; -2), LM = (-1; 3) Find JM.

O-LevelMathematicsStatisticsMay/June 2016

Steven asked 25 women how many children they have. The results are summarised in the table below. Number of children | Frequency ------------------...

O-LevelMathematicsGeometryMay/June 2016

Triangle ABC has sides AB = 8 cm, AC = 7 cm and BC = 12cm. Use a ruler and compasses to construct triangle ABC. Side AB has been drawn for you. [Fi...

O-LevelMathematicsAlgebra and graphsMay/June 2016

Factorise fully 8x²y - 12x⁵.

O-LevelMathematicsProbabilityMay/June 2016

E = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } A = { x : x is a prime number } B = {x: x is an even number } C = { x : x is a multiple of 5 } List the m...

O-LevelMathematicsStatisticsMay/June 2016

One day, garage A records the amount of petrol bought by the first 120 customers. The results are summarised in the table below. Petrol (k litres) ...

O-LevelMathematicsAlgebra and graphsMay/June 2016

The table below shows some values of x and the corresponding values of y for y = ¼ x 2^x. x | 0 | 1 | 2 | 3 | 4 | 5 --|-----|---|---|---|---|--- ...

O-LevelMathematicsTrigonometryMay/June 2016

The diagram shows a vertical wind turbine with blades 30m long. The blades are stationary with the point A being the maximum distance possible from...

O-LevelMathematicsVectors and transformationsMay/June 2016

Triangles A, B, C and D are drawn on a centimetre square grid. [Figure 10.1]

O-LevelMathematicsMensurationMay/June 2016

[Volume of a cone = ⅓ πr²h]

O-LevelMathematicsNumberMay/June 2017

Evaluate 0.2×0.08.

O-LevelMathematicsMensurationMay/June 2017

All the angles are right angles. All the lengths are in centimetres. [Figure 2.1 - A composite shape with overall dimensions 6 and 4, drawn on a gr...

O-LevelMathematicsGeometryMay/June 2017

[Figure 3.1 - A quadrilateral ABCD with AB parallel to DC. Diagonals AC and BD intersect at E. Triangle ADE is right-angled and isosceles with AD =...

O-LevelMathematicsNumberMay/June 2017

Express 36 as the product of its prime factors.

O-LevelMathematicsAlgebra and graphsMay/June 2017

Carl spent t minutes on his English homework. He spent three times as long on his Mathematics homework as on his English homework. He spent a total...

O-LevelMathematicsGeometryMay/June 2017

Complete the sentences below which describe two different types of quadrilateral.

O-LevelMathematicsGeometryMay/June 2017

[Figure 7.1 - A diagram showing two parallel lines AB and DE. A transversal line segment C is between B and D, forming angle ABC = 114° and CDE = 1...

O-LevelMathematicsNumberMay/June 2017

A car travels at 84 km/h. Calculate the number of metres that the car travels in one minute.

O-LevelMathematicsProbabilityMay/June 2017

A bag contains red and blue pegs. There are 40 pegs in the bag. The probability of choosing a red peg from the bag is 0.4 .

O-LevelMathematicsNumberMay/June 2017

Write 248.367 correct to 2 decimal places,

O-LevelMathematicsAlgebra and graphsMay/June 2017

Solve the simultaneous equations. 2x + 3y = 5 3x - y = -9

O-LevelMathematicsStatisticsMay/June 2017

The ages of guests at a family party were recorded. The results are summarised in the table. [Table 12.1 - Data table showing Age (b years) categor...

O-LevelMathematicsNumberMay/June 2017

Evaluate 3/5 - 1/8 .

O-LevelMathematicsNumberMay/June 2017

Write 0.000 186 in standard form.

O-LevelMathematicsMensurationMay/June 2017

[ Volume of a pyramid = 1/3 × base area × perpendicular height ] [Figure 15.1 - Diagrams showing a solid pyramid L with a rectangular base (9cm by ...

O-LevelMathematicsAlgebra and graphsMay/June 2017

Given that a = 3 and b = -7, evaluate

O-LevelMathematicsVectors and transformationsMay/June 2017

The diagram shows triangle A. [Figure 17.1 - A coordinate grid showing triangle A with vertices at (2,1), (3,1), (3,3).]

O-LevelMathematicsAlgebra and graphsMay/June 2017

Evaluate 3⁻²,

O-LevelMathematicsNumberMay/June 2017

6 square metres of carpet cost $258. Work out the cost of 10 square metres.

O-LevelMathematicsAlgebra and graphsMay/June 2017

[Figure 20.1 - A distance-time graph showing the journey of a red bus. The y-axis is 'Distance from village (km)' (0-25). The x-axis is 'Time' (11:...

O-LevelMathematicsProbabilityMay/June 2017

In a sports club 24 members play basketball (B), 28 play cricket (C), 16 play football (F), 9 play basketball and cricket, 11 play cricket and foot...

O-LevelMathematicsCoordinate geometryMay/June 2017

The diagram shows a line segment AB joining A (2, 3) and B (5, 4) . [Figure 22.1 - A coordinate grid showing line segment AB with point A at (2,3) ...

O-LevelMathematicsVectors and transformationsMay/June 2017

[Figure 23.1 - A parallelogram OPRQ. Vector OP is p and vector OQ is q. S is a point on PR such that PS : SR = 1 : 3.] OPRQ is a parallelogram and ...

O-LevelMathematicsAlgebra and graphsMay/June 2017

Solve 6/(x+1) = 5/(x-3) .

O-LevelMathematicsNumberMay/June 2017

Evaluate 4/5 - 1/3.

O-LevelMathematicsGeometryMay/June 2017

Shade one more small triangle in the shape below to make a pattern with one line of symmetry. [Figure 2a]

O-LevelMathematicsNumberMay/June 2017

By writing each number correct to one significant figure, estimate the value of (58.7 × 4.08)/19.7.

O-LevelMathematicsStatisticsMay/June 2017

A group of students were asked if they wanted a later start to the school day. The pie chart summarises the results. 200 students said no. [Figure:...

O-LevelMathematicsGeometryMay/June 2017

The diagram shows the position of two villages A and B. [Figure: Diagram with a North arrow, point A, point B, and a line segment connecting A and B.]

O-LevelMathematicsNumberMay/June 2017

A thermometer measures temperature correct to the nearest degree. The outside temperature is measured as -8°C.

O-LevelMathematicsNumberMay/June 2017

Use set notation to describe the shaded set in the Venn diagram. [Figure 7a: Venn diagram with sets A and B, where A is partly shaded, specifically...

O-LevelMathematicsNumberMay/June 2017

A film starts at 22 35 and finishes at 01 20. How long, in hours and minutes, does the film last?

O-LevelMathematicsNumberMay/June 2017

Write down all the integers that satisfy the inequality -3/2 < x < 2.

O-LevelMathematicsStatisticsMay/June 2017

Here are the masses, in grams, of 8 apples. 189 175 185 192 202 161 174 196 Find the median mass.

O-LevelMathematicsAlgebra and graphsMay/June 2017

Solve the simultaneous equations. 5x - 2y = 16 3x + 4y = 7

O-LevelMathematicsAlgebra and graphsMay/June 2017

y is inversely proportional to the square of x. The table shows some values for x and y. | x | 2 | 4 | p | |---|---|---|---| | y | 3 | 3/4 | 48 |

O-LevelMathematicsNumberMay/June 2017

Rani has $240. She spends 5/8 of this on a new phone. Work out the cost of the phone.

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